A sufficient condition of regularity for axially symmetric solutions to the Navier-Stokes equations

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In the present paper, we prove a sufficient condition of local regularity for suitable weak solutions to the Navier-Stokes equations having axial symmetry. Our condition is an axially symmetric analog of the so-called $L_{3,\infty}$-case in the general local regularity theory.
25 pages

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Analysis of PDEs, 35K, 76D

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http://salesiana.dossiersoluciones.com/handle/123456789/124618

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0702720
 http://arxiv.org/abs/math/0702720

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arXiv